Regularity of Solutions to the Liquid Crystals Systems in ${\mathbb{R}}^2$ and ${\mathbb{R}}^3$

Abstract

Global existence for weak solutions to systems of nematic liquid crystals, with non-constant fluid density has been established by several authors. In this paper, we establish the regularity and uniqueness results for solutions to the density dependent nematic liquid crystals system.

Cited by in corpus (2)

• Optimal boundary control of a simplified Ericksen--Leslie system for nematic liquid crystal flows in $2D$
• Uniqueness of weak solutions for the general Ericksen-Leslie system with Ginzburg-Landau penalization in T^2